Work

A reliable hybrid numerical method for a time dependent vibration model of arbitrary order

Year: 2020

Type: article

Abstract: In this article, the solution of vibration equation of fractional order is found numerically for the large membranes using a powerful technique namely q-homotopy analysis Sumudu transform technique. The parameter ħ suggests a convenient way to control convergence region. The given numerical examples depict competency and accuracy of this scheme. The results are discussed using figures taking diverse wave velocities and initial conditions. Results are also compared with other methods. The outcome divulges that q-HASTM is highly reliable, more efficient, attractive, easier to use as well as highly effective.

Source: AIMS Mathematics

DOI: 10.3934/math.2020068

Authors: Amit Prakash, Manish Goyal, Haci Mehmet Baskonus, Shivangi Gupta

Institutions: National Institute of Technology Kurukshetra, Harran University, GLA University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

OpenAlex ID: W3000392053

FWCI: 1.336

Cites: 33

Cited by: 42

Related to: 10